Hyperfoams: Energy dissipation and shock wave formation

Abstract It has been found that highly porous organic foams (hyperfoams) modeled by the Blatz–Ko and Hill hyperelastic potentials may exhibit mechanical energy loss caused by the formation and propagation of strain discontinuities arising when a portion of a faster wave pulse overtakes a slower one. This observation opens up a possibility for creating a new type of shock absorbers containing no viscous or dry friction elements. For example, the considered Blatz–Ko-type hyperelastic potential is a good material behavior model for moderately stiff polyurethane (PU) foams both at large compression and at large extension strains. The analysis utilizes a combined method consisting of the explicit time integration technique coupled with the finite element method for spatial discretization.

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Publication Details

Journal
Zeitschrift für angewandte Mathematik und Physik
Published
2025-05-26
DOI
https://doi.org/10.1007/s00033-025-02517-7
Primary Topic
Elasticity and Material Modeling
Type
article
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article

Hyperfoams: Energy dissipation and shock wave formation

С. В. Кузнецов, Vladimir Bratov
Zeitschrift für angewandte Mathematik und Physik
Elasticity and Material Modeling
article

Hyperfoams: Energy dissipation and shock wave formation

С. В. Кузнецов, Vladimir Bratov
article en

Abstract

Abstract It has been found that highly porous organic foams (hyperfoams) modeled by the Blatz–Ko and Hill hyperelastic potentials may exhibit mechanical energy loss caused by the formation and propagation of strain discontinuities arising when a portion of a faster wave pulse overtakes a slower one. This observation opens up a possibility for creating a new type of shock absorbers containing no viscous or dry friction elements. For example, the considered Blatz–Ko-type hyperelastic potential is a good material behavior model for moderately stiff polyurethane (PU) foams both at large compression and at large extension strains. The analysis utilizes a combined method consisting of the explicit time integration technique coupled with the finite element method for spatial discretization.

Zeitschrift für angewandte Mathematik und PhysikVol. 76(3)
Edinburgh Napier University (GB), Moscow State University of Civil Engineering (RU)
Openalex Percentile: Top 89%
Elasticity and Material Modeling
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